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Finding the Third Proportional to 203.56 and 451.06

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Solution

The third proportional to 203.56 and 451.06 is: 999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.56 : 451.06 = 451.06 : x
  2. Step 2: Convert to fraction form
    203.56/451.06 = 451.06/x
  3. Step 3: Cross multiply
    203.56x = 451.06 × 451.06
  4. Step 4: Simplify right side
    203.56x = 203,457.38
  5. Step 5: Solve for x
    x = 203,457.38/203.56
  6. Step 6: Final answer
    x = 999.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.